Mathematical problems in the theory of wave propagation.
Main publications:
A. B. Plachenov, “Nestatsionarnye normalnye volny tonkogo izognutogo volnovoda v mnogoluchevoi oblasti (ravnomernaya asimptotika)”, Interferentsionnye volny v sloistykh sredakh. I, Zap. nauchn. sem. LOMI, 99, Izd-vo «Nauka», Leningrad. otd., L., 1980, 127–137
V. N. Kudashov, A. B. Plachenoe, A. M. Radin, “Fundamentalnaya poperechnaya moda trekhmernogo koltsevogo rezonatora, soderzhaschego selektiruyuschie elementy”, Optika i spektroskopiya, 93:5 (2002), 843–852
V. N. Kudashov, A. B. Plachenov, A. M. Radin, “Mody trekhmernykh opticheskikh rezonatorov, soderzhaschikh selektiruyuschie elementy”, Zhurnal tekhnicheskoi fiziki, 73:11 (2003), 111–117
A. B. Plachenov, A. M. Radin, V. N. Kudashov, “Poluchenie yavnykh formul dlya fundamentalnoi mody rezonatora v vide gaussovskogo puchka so slozhnym astigmatizmom”, Radiotekhnika i elektronika, 52:12 (2007), 1422–1429
A. B. Plachenov, V. N. Kudashov, A. M. Radin, “Analiticheskoe opisanie gaussova puchka v koltsevom rezonatore s nekomplanarnym osevym konturom i chetnym chislom zerkal”, Kvantovaya elektronika, 39:3 (2009), 261–272
